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Finding the Fourth Proportional to 69,652.26, 96,122.04 and 40,974

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Solution

The fourth proportional to 69,652.26, 96,122.04 and 40,974 is: 56,545.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,652.26 : 96,122.04 = 40,974 : x
  2. Step 2: Convert to fraction form
    69,652.26/96,122.04 = 40,974/x
  3. Step 3: Cross multiply
    69,652.26x = 96,122.04 × 40,974
  4. Step 4: Simplify right side
    69,652.26x = 3,938,504,466.96
  5. Step 5: Solve for x
    x = 3,938,504,466.96/69,652.26
  6. Step 6: Final answer
    x = 56,545.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.